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Finding the Fourth Proportional to 154.50, 230.67 and 131.69

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Solution

The fourth proportional to 154.50, 230.67 and 131.69 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 230.67 = 131.69 : x
  2. Step 2: Convert to fraction form
    154.50/230.67 = 131.69/x
  3. Step 3: Cross multiply
    154.50x = 230.67 × 131.69
  4. Step 4: Simplify right side
    154.50x = 30,375.78
  5. Step 5: Solve for x
    x = 30,375.78/154.50
  6. Step 6: Final answer
    x = 196.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.